-10 (v-2) - 10 = 14 -6v

Answer:

0.09 = 9% probability that the student is proficient in neither reading nor mathematics

Step-by-step explanation:

We solve this question treating the events as Venn probabilities.

I am going to say that:

Event A: A student is proficient in reading.

Event B: A student is proficient in mathematics.

A total of 82% of the students were found to be proficient in reading

This means that \(P(A) = 0.82\)

74% were found to be proficient in mathematics

This means that \(P(B) = 0.74\)

65% were found to be proficient in both reading and mathematics.

This means that \(P(A \cap B) = 0.65\)

What is the probability that the student is proficient in neither reading nor mathematics?

This is:

\(P = 1 - P(A \cup B)\)

In which

\(P(A \cup B) = P(A) + P(B) - P(A \cap B)\)

With the values that we have:

\(P(A \cup B) = 0.82 + 0.74 - 0.65 = 0.91\)

Then

\(P = 1 - P(A \cup B) = 1 - 0.91 = 0.09\)

0.09 = 9% probability that the student is proficient in neither reading nor mathematics

The total interest amount, the total amount to be paid, and her monthly payment over 7 years  is mathematically given as

Question Parameters:

Maribel was approved for a 7-year private student loan at 6.8%

costs of $10,900

Generally, the total interest amount   is mathematically

given as

X=10900*0.068

X=741.2

Therefore total amount to be paid is

Y=10900*741.2

Y=11641.2

In conclusion, her monthly payment over 7 years

z=11641.2/(7*12)

z=138.5857

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Answer:

Step-by-step explanation:

The total interest amount, the total amount to be paid, and her monthly payment over 7 years  is mathematically given as

X=741.2

Y=11641.2

z=138.5857

What is the total amount she will pay back and the total interest amount?

Question Parameters:

Maribel was approved for a 7-year private student loan at 6.8%

costs of $10,900

Generally, the total interest amount   is mathematically

given as

X=10900*0.068

X=741.2

Therefore total amount to be paid is

Y=10900*741.2

Y=11641.2

In conclusion, her monthly payment over 7 years

z=11641.2/(7*12)

z=138.5857

Answer:

Step-by-step explanation:

it would be "c" because the question asks for the number that makes the inequality true

4x≤ x+3

the graph in c is saying that every number that is 1 or less than 1 makes the inequality true. so lets take -7 as an example

4 x -7=-28

-28+3=-25

-25 is greater than -28 so the inequality is true. the reason why graph d doesnt work is because if we plug in 2 into the equation, then 4x =8 and x+3=5

5 is not greater than 8 so it doesnt work

The number of hamburgers sold on Saturday is 108

Word problems are sentences describing a 'real-life' situation where a problem needs to be solved by way of a mathematical calculation.

Given that:

1. The combined total of hamburgers and cheeseburgers is 432.

2. The number of cheeseburgers sold was three times the number of hamburgers sold

Let h and c represent hamburgers and cheeseburgers respectively

1st sentence can be written as:

h + c = 432   .... (1)

2nd sentence can be written as:

c = 3h   .... (2)

Substitute (2) into (1):

h + 3h = 432

4h = 432

h = 432/4 = 108

Therefore, 108 hamburgers were sold on Saturday

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Answer:

1). y= -4+ 4x

2). y= 3+ x/2

Step-by-step explanation:

hope this helps !

Answer:

270

Step-by-step explanation:

The day in Madrid at which the high temperature is expected to be closest to 75 degrees Fahrenheit will be 270.

We are given that the average daily high temperature in Madrid peaks at 92°f in the summer and drops as low as 33°f in the winter.

The temperature can be modeled by the function as;

\(T(d)=29.5 cos (2\pi /365(d-204))+62.5\)

Here, d represents the day number of the year (January 1 is 1, January 2 is 2....)

The day has to be found out when the temperature is at 75 degrees Fahrenheit.

Now substitute the value of temperature 75 in the above equation;

\(75 =29.5 cos (2\pi /365(d-204))+62.5\)

Solving the equation for the cosine function, we have;

d = 270

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Answer:

(x-1) (x-4) is the answer

Answer:

y^6

Step-by-step explanation:

Answer:

\(y^{6}\)

Step-by-step explanation:

Step 1:

( y³ )²       Equation

Step 2:

\(y^{3 * 2}\)        Multiply

Answer:

\(y^{6}\)

Hope This Helps :)

2) \(\overline{EK} \cong \overline{KG}, \overline{HK} \cong \overline{KF}\)

3) Opposite sides of a parallelogram are congruent.

4) \(\triangle EF \text{ }K \cong \triangle GHK\)

Answer:

y is 0,3

Step-by-step explanation:

To find the x-intercept, substitute in

0

for

y

and solve for

x

. To find the y-intercept, substitute in

0

for

x

Answer:

(0,3)

Step-by-step explanation:

Two methods:

Method 1:  General method for any equation

Method 2: Method specific for parabolas in standard form

Method 1:  General method for any equation

For any two-variable equation to be graphed, the y-intercept is the point where the graph crosses the y-axis.  The y-axis is a vertical line through the origin (0,0).

Any y-intercept is on that line, and to get to that point starting from the origin, one can't travel left or right to get to the y-intercept point (without moving back to the y-axis).  The only movement would be up or down.

Since no left-right movement will happen, the x-coordinate is zero.

For any two-variable equation, the x and y coordinates of any point on the graph are linked by the equation.  If it is known that the x-value is zero, the y-value associated with that x-value is given by substituting zero into the equation everywhere there is an "x", and solving for "y".

\(y=-4x^2-x+3\)

\(y=-4(0)^2-(0)+3\)

Order of operations requires exponents before multiplication, or addition & subtraction...

\(y=-4(0)-(0)+3\)

multiplication...

\(y=0-0+3\)

addition & subtraction, from left to right...

\(y=3\)

So, when the x-value is zero, the y-value is three.  Therefore, the ordered pair representing that point is (0,3).

Method 2: Method specific for parabolas in standard form

The given equation is the equation for a parabola (as stated in the question), and it is given in "standard form": \(y=ax^2+bx+c\), where a, b, and c are real numbers (and a isn't equal to zero, because then the x-squared term would be zero, and the equation would really just be a linear equation).

Note that for our equation, it is in standard form if we rewrite the equation to only use addition, \(y=-4x^2+-1x+3\), where \(a=-4, ~b=-1 ~ \text{and}~c=3\)

For a parabola in standard form, the y-intercept is always at a height of "c".

So, the y-intercept would be (0,3).

Answer:

for 9^(x)-1=2 the answer is 1/2 or .5

The solution to this equation 9ˣ - 1 = 2 is 1/2.

The correct option is A.

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given:

An equation:

9ˣ - 1 = 2

Simplifying,

9ˣ  = 3

3²ˣ = 3

Comparing, we get,

2x = 1

x = 1/2

Therefore, the solution is x = 1/2.

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Step-by-step explanation:

\(\qquad\quad {:}\leadsto\sf \dfrac {2x (x+7)}{\cancel{(x-3)}}\times {\dfrac {(x-9)\cancel{(x-3)}}{8x^2 (x+7)}}\)

\(\qquad\quad {:}\leadsto\sf \dfrac {2x\cancel{(x+7)}}{x-3}\times {\dfrac {x-9}{8x^2 \cancel{(x+7)}}}\)

\(\qquad\quad {:}\leadsto\sf \dfrac{2x (x-9)}{8x^2}\)

\(\qquad\quad {:}\leadsto\sf \dfrac {\cancel{2x}^2-18x}{\cancel{8x}^2}\)

\(\qquad\quad {:}\leadsto\sf \dfrac {18x}{4}\)

\(\qquad\quad {:}\leadsto\sf \dfrac {9x}{2}\)

\(\qquad\quad {:}\leadsto\sf 4.5x \)

The number of different codes as the letters A or C must come first and digits can be repeated is 2000

Permutations and combinations are a subset of the study of finite, discrete structures that are known as combinatorics. Combinations include the selection of items without respect to order, whereas permutations are precise selections of elements within a set where the order of the elements is significant.  

Here we have,

The locker combination code consists of one letter and 3 digits  

Here we need to find the number of different codes If the letter A or C must come first and digits can be repeated.

Given that the first letters are A and C

Here number of ways that A and C can be chosen at first = 2

As we know Number of digits = 10  [ including 0, 0 to 9 ]

Number of arrangements that can be chosen from 10 digits

= 10 × 10 ×10   [ Since repetition is allowed ]  

Therefore,

The possible number of different codes = 2 × 10 × 10 ×10 = 2000

Therefore

The number of different codes as the letters A or C must come first and digits can be repeated is 2000

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Step-by-step explanation:

To calculate the correlation coefficient (r) given SSxx, SSxy, and other information, we need to use the following formula:

r = √(SSxy / SSxx)

Given SSxx = 950 and SSxy = 205.2, we can substitute these values into the formula:

r = √(205.2 / 950)

Calculating the value:

r = √(0.216)

r ≈ 0.465

The correlation coefficient (r) is approximately 0.465.

Interpretation: The correlation coefficient measures the strength and direction of the linear relationship between two variables. In this case, the value of r = 0.465 indicates a positive linear relationship between the variables, but it's not a strong relationship. The closer the value of r is to 1 or -1, the stronger the relationship. Since r = 0.465 is relatively close to zero, it suggests a weak positive linear association between the variables being an analyzed.

hope it help you

The Pearson's correlation coefficient (r) based on given data is approximately 0.44, implying a moderate positive correlation.

The formula for calculating Pearson's correlation coefficient (r) in this case is given as: r = SSxy / sqrt(SSxx * SSyy). However, we don't have the value for SSyy directly, but we can calculate it. We know that SSyy = Σy² -(Σy)² / n. Given that Σy² is 2028 and Σy is 120 and number of samples n is 12, we can calculate SSyy as: SSyy = 2028 - (120)² / 12 = 52. Now, substitute SSxx = 950, SSxy = 205.2 and SSyy = 52 in the formula to find r: r = 205.2 / sqrt(950 * 52), giving us an r-value of approximately 0.44. This value of r suggests a moderate positive correlation between the variables in the dataset.

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Answer:

$785.17

Step-by-step explanation:

Given data

PV is the loan amount

PMT is the monthly payment

i is the interest rate per month in decimal form (interest rate percentage divided by 12)

n is the number of months (term of the loan in months)

PMT =$700

n = 10 years

i = 0.89%

The formula for the loan amount is

The last row of the table will show the total interest paid, which is approximately $243.11.

The correct option is C.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

To calculate the total interest paid,

we need to first find out how many months it will take to pay off the entire balance.

We can use the following formula to calculate the number of months:

N = -log(1-(r×b/p))/log(1+r)

where N is the number of months, r is the monthly interest rate (which is the annual percentage rate divided by 12), b is the balance, and p is the payment.

In this case,

r = 0.1799/12 = 0.01499 (monthly interest rate), b = $1,800, and p = $125.

Plugging these values into the formula, we get:

N = -log(1-(0.01499 × 1800/125))/log(1+0.01499) ≈ 16.24

So it will take about 16.24 months to pay off the entire balance.

Using a spreadsheet, we can create a table with the following columns:

Month: 1 to 16

Balance: starting with $1,800 and decreasing by $125 each month

Interest: calculated as the monthly interest rate times the balance

Payment: $125

Total Interest: calculated as the sum of the interest for all previous months

The last row of the table will show the total interest paid, which is approximately $243.11.

Therefore, the value is (C) $243.11.

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Answer: Option C is correct $243.11

Step-by-step explanation: I got it right On the test!!!

If Given f(x) = 1/2 (3 - x) ^ 2 , the value of f(15) is 72.

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range. In simpler terms, a function is a set of rules that takes an input value and produces a corresponding output value.

The given function is:

f(x) = 1/2 (3 - x)²

To find the value of f(15), we need to substitute 15 for x in the function:

f(15) = 1/2 (3 - 15)²

Here, we subtract 15 from 3 to get -12 in the parentheses, and then we square it to get 144. We can simplify the expression further by multiplying 144 by 1/2, which gives us 72:

f(15) = 1/2 (144)

f(15) = 72

Therefore, the value of f(15) is 72.

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Answer:

There are a total of 20 presents, and 3 of them contain gems. Therefore, there are 20 - 3 = 17 presents that do not contain gems.

The probability of randomly selecting a present that does not contain a gem is 17/20 = 0.85 or 85%.

hope it helps you...

The coordinates of point P are (5, -3.5). The equation of the circle is \((x - 5)^2 + (y + 3.5)^2 = 1.5^2\). The equation of KL is y = (-4/3)x + 22/3.

To find the coordinates of point P, we can first find the midpoint of MN, which is the center of the circle. The midpoint formula is given by:

Midpoint = ( (x1 + x2) / 2 , (y1 + y2) / 2 )

Using the coordinates of M(3,-5) and N(7,-2), we can calculate the midpoint:

Midpoint = ( (3 + 7) / 2 , (-5 + -2) / 2 ) = (5, -3.5)

Since the midpoint of MN is the center of the circle, the coordinates of P will be the same as the coordinates of the center, which are (5, -3.5).

i. To determine the equation of the circle in the form of \((x-a)^2\) + \((y-b)^2\) = \(r^2\), we can use the center and any point on the circle. We can use point N(7,-2), which lies on the circle.

The radius of the circle is half the length of PN. Therefore, the radius is given by:

Radius =\(1/2 * \sqrt((7 - 5)^2 + (-2 - (-3.5))^2) = 1.5\)

Substituting the values into the equation, we get:

\((x - 5)^2 + (y + 3.5)^2 = 1.5^2\)

ii. To determine the equation of KL in the form of y = mx + c, we can use the slope of the tangent line.

The slope of KL can be calculated as the negative reciprocal of the slope of the radius line MN. The slope of MN is given by:

m = (y2 - y1) / (x2 - x1) = (-2 - (-3.5)) / (7 - 5) = 1.5 / 2 = 0.75

The negative reciprocal of 0.75 is -4/3, which represents the slope of KL.

Using the point N(7,-2) and the slope -4/3, we can use the point-slope form of a line to find the equation of KL:

y - (-2) = (-4/3)(x - 7)

y + 2 = (-4/3)x + 28/3

y = (-4/3)x + 22/3

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Answer:

To find the value of t when the population exceeds 1151, we need to solve the equation:

1151 = 800e^(0.14t)

First, divide both sides of the equation by 800:

1.43875 = e^(0.14t)

Now, take the natural logarithm (ln) of both sides:

ln(1.43875) = ln(e^(0.14t))

Using the property of logarithms, we can move the exponent in front of the logarithm:

ln(1.43875) = 0.14t * ln(e)

Since ln(e) = 1:

ln(1.43875) = 0.14t

Now, divide both sides by 0.14:

t = ln(1.43875) / 0.14

Finally, calculate the value of t:

t ≈ 2.71

So, the population will exceed 1151 at approximately t = 2.71.

Step-by-step explanation:

Answer:

t=2.59839

Step-by-step explanation:

You are trying to solve for t in the equation

1151=800*e^(.14t) --> 1.43875=e^(.14t)

to get rid of the e, you take the natural log of both sides, denoted by "ln" on calculators. The natural log of e to the power of something always equals the something

ln(1.43875)=ln(e^(.14t)) --> .36377=.14t --> 2.59839=t

Answer:

My best recommendation is to find the median.

Step-by-step explanation:

To find a median, find the averaging number and divide by 2. Round them up for odd numbers. For even numbers, leave them and if it's a decimal, find a remainder. If the median method does not work, put the numbers on a ratio comparison and see if that gives you the next patterns.

I tried my best so I really do hope this helps you.

Answer:

85%

Step-by-step explanation:

to find percent of the throws made put (throws made/total free throws)*100

so (85/100)*100= 85%

Answer:

the answer would be 139000

Answer:139000

Step-by-step explanation:

Answer:

\(6\sqrt{2}\)

Step-by-step explanation:

Answer:

8.49 or 6√2

Step-by-step explanation:

Use the distance formula to calculate the distance between the two points. The distance formula is √(x1-x2)^2+(y1-y2)^2 plug in (2,-3) and (8,-9) to get the solution of √72 or 8.49

Answer:

f(x)=(-3)x

Step-by-step explanation:

Answer:

ƒ( x ) = 4(0.25) x

Step-by-step explanation:

because my test says so.....

Confidence level: 99%. So, significance level = 0.01

Sample size n = 10

Since n < 30 and population standard deviation is not known, then we apply t-test.

Degree of freedom df = n - 1 = 10 - 1 = 9

At a cumulative probability of t.₉₉ and df = 9, we get tc = 2.821 (from t-table).

Since we are dealing with a left hand t-test (mu <2), then tc = -2.821.

x-bar = 1.8

s = 0.15            

From the data,

t = (x-bar - mu₀)/(s/SQRT(n)) = (1.8 – 2)/(0.15/SQRT(10))

t = (-0.2)/(0.15 * 3.1623) = -0.2/0.47434 = -4.22 (rounded to 2 decimal places)

The t value of -4.22 < -2.281, the latter being the critical value.

Thus, the data t falls in the rejection region.

Hence, at 99% confidence level, there is enough evidence to discard the Null hypothesis.

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Answer:

34

Step-by-step explanation:

Answer:

$3040 profit made

Step-by-step explanation:

$13×95=$1235 cost to make all the shoes they sold

$45×95=$4275 money she made

$4275-$1235=$3040 profit

Answer:

we can describe this by using the formulas of Trigonometric functions..........Thank u.....

On solving the provided question, we can say that equation is 532/13.5 = 39.4 doses

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

equation is

week * 7( days/week) * 24(hours/day) * 19/6(MILIGRAMS/HOURS)

532 milligrams for a week

532/13.5 = 39.4 doses

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